Trigonometric Functions

Site: Young Education
Cours: Trigonometry
Livre: Trigonometric Functions
Imprimé par: Guest user
Date: vendredi 25 septembre 2026, 01:53

1. The Unit Circle

Learning outcomes
  • I can define the unit circle.
  • I can identify coordinates on the unit circle.
  • I can determine exact trigonometric values for common angles.
  • I can relate unit circle coordinates to sine and cosine.
  • I can use the unit circle to evaluate trigonometric functions.

2. Trigonometric Functions

Learning outcomes
  • I can define the six trigonometric functions.
  • I can determine function values for any angle.
  • I can identify the domains and ranges of trigonometric functions.
  • I can determine the signs of trigonometric functions in each quadrant.
  • I can evaluate trigonometric expressions.

3. Graphs of Trigonometric Functions

Learning outcomes
  • I can sketch the graphs of sine, cosine, and tangent.
  • I can identify amplitude, period, and midline.
  • I can determine key points of trigonometric graphs.
  • I can compare the graphs of different trigonometric functions.
  • I can interpret graphs in context.

4. Transformations of Trigonometric Functions

Learning outcomes
  • I can identify vertical and horizontal translations.
  • I can identify reflections and stretches.
  • I can determine changes in amplitude and period.
  • I can write transformed trigonometric equations.
  • I can sketch transformed graphs.

5. Inverse Trigonometric Functions

Learning outcomes
  • I can define inverse trigonometric functions.
  • I can determine principal values.
  • I can solve equations involving inverse trigonometric functions.
  • I can interpret inverse functions graphically.
  • I can solve practical problems involving inverse trigonometry.